{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Customizing Colorbars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot legends identify discrete labels of discrete points.\n",
    "For continuous labels based on the color of points, lines, or regions, a labeled colorbar can be a great tool.\n",
    "In Matplotlib, a colorbar is drawn as a separate axes that can provide a key for the meaning of colors in a plot.\n",
    "Because the book is printed in black and white, this chapter has an accompanying [online supplement](https://github.com/jakevdp/PythonDataScienceHandbook) where you can view the figures in full color.\n",
    "We'll start by setting up the notebook for plotting and importing the functions we will use:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('seaborn-white')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we have seen several times already, the simplest colorbar can be created with the `plt.colorbar` function (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 10, 1000)\n",
    "I = np.sin(x) * np.cos(x[:, np.newaxis])\n",
    "\n",
    "plt.imshow(I)\n",
    "plt.colorbar();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll now discuss a few ideas for customizing these colorbars and using them effectively in various situations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Customizing Colorbars\n",
    "\n",
    "The colormap can be specified using the `cmap` argument to the plotting function that is creating the visualization (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(I, cmap='Blues');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The names of available colormaps are in the `plt.cm` namespace; using IPython's tab completion feature will give you a full list of built-in possibilities:\n",
    "\n",
    "```\n",
    "plt.cm.<TAB>\n",
    "```\n",
    "But being *able* to choose a colormap is just the first step: more important is how to *decide* among the possibilities!\n",
    "The choice turns out to be much more subtle than you might initially expect."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Choosing the Colormap\n",
    "\n",
    "A full treatment of color choice within visualizations is beyond the scope of this book, but for entertaining reading on this subject and others, see the article [\"Ten Simple Rules for Better Figures\"](http://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1003833) by Nicholas Rougier, Michael Droettboom, and Philip Bourne.\n",
    "Matplotlib's online documentation also has an [interesting discussion](https://matplotlib.org/stable/tutorials/colors/colormaps.html) of colormap choice.\n",
    "\n",
    "Broadly, you should be aware of three different categories of colormaps:\n",
    "\n",
    "- *Sequential colormaps*: These are made up of one continuous sequence of colors (e.g., `binary` or `viridis`).\n",
    "- *Divergent colormaps*: These usually contain two distinct colors, which show positive and negative deviations from a mean (e.g., `RdBu` or `PuOr`).\n",
    "- *Qualitative colormaps*: These mix colors with no particular sequence (e.g., `rainbow` or `jet`).\n",
    "\n",
    "The `jet` colormap, which was the default in Matplotlib prior to version 2.0, is an example of a qualitative colormap.\n",
    "Its status as the default was quite unfortunate, because qualitative maps are often a poor choice for representing quantitative data.\n",
    "Among the problems is the fact that qualitative maps usually do not display any uniform progression in brightness as the scale increases.\n",
    "\n",
    "We can see this by converting the `jet` colorbar into black and white (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "from matplotlib.colors import LinearSegmentedColormap\n",
    "\n",
    "def grayscale_cmap(cmap):\n",
    "    \"\"\"Return a grayscale version of the given colormap\"\"\"\n",
    "    cmap = plt.cm.get_cmap(cmap)\n",
    "    colors = cmap(np.arange(cmap.N))\n",
    "    \n",
    "    # Convert RGBA to perceived grayscale luminance\n",
    "    # cf. http://alienryderflex.com/hsp.html\n",
    "    RGB_weight = [0.299, 0.587, 0.114]\n",
    "    luminance = np.sqrt(np.dot(colors[:, :3] ** 2, RGB_weight))\n",
    "    colors[:, :3] = luminance[:, np.newaxis]\n",
    "        \n",
    "    return LinearSegmentedColormap.from_list(\n",
    "        cmap.name + \"_gray\", colors, cmap.N)\n",
    "    \n",
    "\n",
    "def view_colormap(cmap):\n",
    "    \"\"\"Plot a colormap with its grayscale equivalent\"\"\"\n",
    "    cmap = plt.cm.get_cmap(cmap)\n",
    "    colors = cmap(np.arange(cmap.N))\n",
    "    \n",
    "    cmap = grayscale_cmap(cmap)\n",
    "    grayscale = cmap(np.arange(cmap.N))\n",
    "    \n",
    "    fig, ax = plt.subplots(2, figsize=(6, 2),\n",
    "                           subplot_kw=dict(xticks=[], yticks=[]))\n",
    "    ax[0].imshow([colors], extent=[0, 10, 0, 1])\n",
    "    ax[1].imshow([grayscale], extent=[0, 10, 0, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x144 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_colormap('jet')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice the bright stripes in the grayscale image.\n",
    "Even in full color, this uneven brightness means that the eye will be drawn to certain portions of the color range, which will potentially emphasize unimportant parts of the dataset.\n",
    "It's better to use a colormap such as `viridis` (the default as of Matplotlib 2.0), which is specifically constructed to have an even brightness variation across the range; thus, it not only plays well with our color perception, but also will translate well to grayscale printing (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x144 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_colormap('viridis')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For other situations, such as showing positive and negative deviations from some mean, dual-color colorbars such as `RdBu` (*Red–Blue*) are helpful. However, as you can see in the following figure, it's important to note that the positive/negative information will be lost upon translation to grayscale!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x144 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "view_colormap('RdBu')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll see examples of using some of these colormaps as we continue.\n",
    "\n",
    "There are a large number of colormaps available in Matplotlib; to see a list of them, you can use IPython to explore the `plt.cm` submodule. For a more principled approach to colors in Python, you can refer to the tools and documentation within the Seaborn library (see [Visualization With Seaborn](04.14-Visualization-With-Seaborn.ipynb))."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Color Limits and Extensions\n",
    "\n",
    "Matplotlib allows for a large range of colorbar customization.\n",
    "The colorbar itself is simply an instance of `plt.Axes`, so all of the axes and tick formatting tricks we've seen so far are applicable.\n",
    "The colorbar has some interesting flexibility: for example, we can narrow the color limits and indicate the out-of-bounds values with a triangular arrow at the top and bottom by setting the `extend` property.\n",
    "This might come in handy, for example, if displaying an image that is subject to noise (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 720x252 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# make noise in 1% of the image pixels\n",
    "speckles = (np.random.random(I.shape) < 0.01)\n",
    "I[speckles] = np.random.normal(0, 3, np.count_nonzero(speckles))\n",
    "\n",
    "plt.figure(figsize=(10, 3.5))\n",
    "\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.imshow(I, cmap='RdBu')\n",
    "plt.colorbar()\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.imshow(I, cmap='RdBu')\n",
    "plt.colorbar(extend='both')\n",
    "plt.clim(-1, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that in the left panel, the default color limits respond to the noisy pixels, and the range of the noise completely washes out the pattern we are interested in.\n",
    "In the right panel, we manually set the color limits and add extensions to indicate values that are above or below those limits.\n",
    "The result is a much more useful visualization of our data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Discrete Colorbars\n",
    "\n",
    "Colormaps are by default continuous, but sometimes you'd like to represent discrete values.\n",
    "The easiest way to do this is to use the `plt.cm.get_cmap` function and pass the name of a suitable colormap along with the number of desired bins (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(I, cmap=plt.cm.get_cmap('Blues', 6))\n",
    "plt.colorbar(extend='both')\n",
    "plt.clim(-1, 1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The discrete version of a colormap can be used just like any other colormap."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Handwritten Digits\n",
    "\n",
    "As an example of where this can be applied, let's look at an interesting visualization of some handwritten digits from the digits dataset, included in Scikit-Learn; it consists of nearly 2,000 $8 \\times 8$ thumbnails showing various handwritten digits.\n",
    "\n",
    "For now, let's start by downloading the digits dataset and visualizing several of the example images with `plt.imshow` (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVwAAAFUCAYAAABoRYRBAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAwOElEQVR4nO2dT4hW1/nHHx2ZWGsmdSryxk6xpouXuLEmlQ5UMUJ0YRdJwBRhFkYDZmkFS7OK0VUCFuumJAONcTFEUiGVgoumYCQuhLSkQn+GWTRGmOjbYdBmMlgj48xvEfQ353u+995z33vPeefy+35Wee7cP9/3nHOfXJ/nnOcsmZ+fNyGEEPFZ2msBQgjx/wU5XCGESIQcrhBCJEIOVwghEiGHK4QQiViW9Yd2u/2ImW02s5tmdj+ZIk6fmT1uZp+Mj49/g3+U1q5oik4zaY1FU7Q2RadZgdZMh2vf/oCPY6nqkq1mdokcl9buaYpOM2mNRVO0NkWnWYbWPId708xsbGzMWq1W5knnz5937DfeeMOxt2zZ4l3zm9/8xrEfe+yxHBlmnU7HRkZGHmrqViuyZ88ex56envbOOXTokGPv2LGjJ1ovX77s2AcOHPDO2bBhg2OfOXMmus633nrLsd98803H/uEPf+hd8+c//9mxe9X/2N+HDx/2zhkdHQ2+n1l9WnFsDg0NOfbx48dL6WLUpRXb8Xe/+51jnz171rtmeHjYsfPaOVb/I8xXDQwMODZ7pxaeU6Q1z+HeNzNrtVpeZy9k1apVObcw+853vuMdW7t2bal7oKas40VakWXL3J+/dKkf0h4cHHTsEvevVevq1asde25uzjsHf0/g/SvpfPTRRx17dna28IGLpf//85//OHZ/f793Tpn7MU1Zx4u0Yl8uX768Ll2ZmrKOF2nFdlyxYoVjs7GKbZ1irHYD+gQcu2Zm3/ve9zI1IXkONwj8Wr127Zpj375927sGndj777/vnfPiiy9WlVYINtTFixe9cy5cuODYzz33XExJD/nHP/7h2Nu3b3ds9lX4xRdfRFRk9uqrr3rHsO/efvttx37llVe8a/7+97879rPPPluDuvK8++67jv2Tn/ykJzoY2Jc4Nk+fPu1ds27dutx7xOKll15y7HPnzjn2kSNHvGuw7dFm960b1Hn9+nXvHDyG/3Mxy3S4FM1SEEKIRMjhCiFEIuRwhRAiEXK4QgiRiFJJM0x2mPlJsn/961+O/cQTT3jX4NQqdt8YSTNMRH300UeF1/QqkfKnP/3JsTdu3OjYzz//vHfN0aNHIyriU9Ewafr000879vr1671repUkw4QHJmp+9atfedeEJJ5+9KMfda0pC0zEYPKGJU2feeYZx66a4GGw9sDk0969ex379ddf965BbfhupuDgwYOF52zbts2xq/a1vnCFECIRcrhCCJEIOVwhhEhEqRguW8Tw1FNPOTaL2SIY54sBLi8082NJX331VeF9MC6WCownYuyIxRtjL8pgffv55587Nsb0WbwWx1GJlWaVwJgtxiPZRHtsZxYDZTHKqmB/X7lyxbHZ2MV8Q9V4LSPkniELFmJoWwiLX2NfsoUOsdEXrhBCJEIOVwghEiGHK4QQiagcwy0qVxhynxgxPBbjxNhSyHNZLKhu2DMwBo3zchmsAEhsMK5769Ytx2YxXDz217/+1Tun6pjAuaFmfqlNnC/KOHnypGOfOnWqkq5QsL9xzjibt4q/j8HeizL0Yr5sN7D5wngMi/2wmG7d8/D1hSuEEImQwxVCiETI4QohRCLkcIUQIhGlkmYskcEKzyyEJdr+9re/OfYvf/nLMjKSgkmCGMVs2MR5TNYgLIkWezJ5CDhGWEIMd4HAfdDM/L3xysKKu+Ax3DUhJCHEigaloJsFODF2fAgZ/7gogyWFsa3rXjzCdGLiEROrrG8xEc0WVJVBX7hCCJEIOVwhhEiEHK4QQiSiVAyXFS/BeOwf//jHXJuBRaz/v8GKfWC8CYuXsHgTFq/Zt29f4TlVwZ18cVEDi+F/+OGHjh0jhs9inkVFr9k1uDgiVZwc44sYfw6JecaIN7Pfj0W6T5w44dgffPBB4X16UeifxfmRuvtbX7hCCJEIOVwhhEiEHK4QQiRCDlcIIRJROWmGk9YxAfbTn/7Uu6ZosUQsMACOCSRWYQqTVyHV7MvCEgaY0AmZKI762Q6jdSfNcKED29kXwSTZ22+/XaumUHA8sF0UYvR3CBcuXHDsooUwZn6CL9VuJbgIByuSsQUlvahsh+B7hztjm/nJ6qo7IesLVwghEiGHK4QQicgLKfSZmXU6ndwbFG3EeO/ePe/YxMREsbIFLNDQl3FKkFYEtS1b5jfH3bt3HbtIeyytk5OTjs3aFfXfuXPHO+eB/rp0fv3117l/Z/z3v/+lmrKI1aZ4Puv/qakpx06lFfuOaUN6NVanp6dzdczNzXnX4HjO0xqr/1E304ntfuPGDe+cmZmZh/9dpHXJ/Pw8FdNut7eY2cc5envB1vHx8Ut4UFor0RSdZtIai6ZobYpOswytef/b/MTMtprZTTO7H0tVIH1m9rh9q4khreVpik4zaY1FU7Q2RadZgdbML1whhBD1oqSZEEIkQg5XCCESIYcrhBCJyEyatdvtR8xssy2yQPT4+Pg3+Edp7Yqm6DST1lg0RWtTdJoVaM2bpbDZFuFUCzPzplqYtFahKTrNpDUWTdHaFJ1mGVrzHO5NM7OxsTFrtVqZJ2Ex6T/84Q+OPTo66l0zMDCQJ9Sj0+nYyMjIQ00hWtlE6nfeecexz549W6hr586djr17927vnA0bNlTSGgJuXoe/xczs0iW3f/PauRud2Ndmfn/jZPLPPvssU8MDPv7Yf1eGhoYqaWVcvXrVsQ8fPpz5zAcMDw879v79+zPvX6dWBMfz1q1bC69J1a44NrHuA/MBO3bsyLwf0o1OtiDrrbfecmx8X/75z3961+A79Pvf/9475+c//3mw1jyHe9/MrNVq0YH4gMHBQfeGsDJj7dq13jUVqqhn/XPB0zo7O+udtGLFCsdmK0uKrlmzZo13Tkb7BGsNYeXKlY7NtGNbB7ZzsE7sazO/v5cuddMCrB8Q9jLHaFNcNYZa+/v7vWvwhSvRZ7X2P7bjYmpXHJuojY2bMr8d9WQdX6jzu9/9rncSHgsZq/ieff/73/fOKdOmSpoJIUQiSpVnZBTt+cTKsGH5thh88cUX3jEstYg6WOk1/OcR+2qMsR8TasF2ZKUXi+5hVm2PplOnTnnHLl686Ni4T9SRI0e8a7BsYMhvqQMsaYml99A280tesn3CUuhn47kXsDGF5RmxBChrs9gLrj7//HPvGJaFxbAGC3NgGI3tv1im3Ky+cIUQIhFyuEIIkQg5XCGESIQcrhBCJKJy0gwTBpiYYgHzFEkztp8T7q2EiSi2TxgmgdjviUFRQg8TFWZ+X7A2YNeFErL3Gp7D+rpK4i4UHIdmfgLs4MGDjs36P0ZCFGGJqJA97JBt27Y5doxkXkjSGN+rbsZNVZ5++mnvGJtHvhCWaHv//fcd+5VXXqmkS1+4QgiRCDlcIYRIhByuEEIkolQMl02+xtgLxngWy4RtRkg8E2NNMeJiuBbdzOz06dOOfeLEiUIduH48Rfzx+vXruTbTsFjGBGt3BH9PDNjioEOHDkV/bl0U5RvYgpJUi13ywJjtj3/8Y++cp556yrEPHDhQ6Zn6whVCiETI4QohRCLkcIUQIhGlYrgs7lI0P5DFwDDGk2JeJgNjeCzeiPGpKvNYswiJaWKcLyT+uGnTpu4EZcDm1BbF4vbt21erhlDYHGQkZBzi3FYWbw2ZI5sHa1fUj/2NMX6z3sXGi+ZeYxua9e6dX8gTTzzh2OvXr/fOefXVVx171apVlZ6pL1whhEiEHK4QQiRCDlcIIRIhhyuEEImovXgNJhWw+IvZ4giYm/nacZGDmZ8QYEVRQhI0ebCkS1GxGrZJ3rp16xwbK+9XhfXbSy+95NhYIIYRu3BJFjgWsd1ZIhL7IdWEfWyTkOf2ajFBUVEoluBbjLAdH3CHhxdffLHSM/SFK4QQiZDDFUKIRMjhCiFEIirHcHGSM+5yy2K4eE1RbLDT6ZTWxYo64w6zt2/fdmwWw8NYaYzJ5ez3YxwMfw+bgF01llxESJviLs4bN270rkkVs0Uw3hyyiAV/c6oC9EhIfBb7go3VGHHeojb59NNPC4+xe9Q9Tt58803Hxvcfi42b8TFfBX3hCiFEIuRwhRAiEXK4QgiRCDlcIYRIROWkGSYiMFDPAt+YrGBJo4UJoKmpqdK6WLAbd00IARcP4O9NBSYaWTIytja2MASTZJhkjFFdrVuwDfH3sEUtmLzs1aIdTIiyClz4e1IlzYoq6rF2Rdg4eXDd9PR0d8KAN954w7HRRzz77LPeNW+//XYtz36AvnCFECIRcrhCCJGIvJBCn1nxHNjJyUnHvnfvnmPPzMx418zNzTn27Oysd87CMMKC+XJ9oVqZbvacPF1m/u+ZmJjIvceC5wZrDeHu3buOvXSp//9KDL3kae1GJwvtoI5ly9whxX4nnlNEXW2Kf8fxwPq/TJvCM2rt/yLtZn5fsP5aqL8urfhP/qL3jMHa/saNG2bm+JhKOovGKtP973//27H7+/tzn1HUpkvm5+fphe12e4uZfZx79/RsHR8fv4QHpbUSTdFpJq2xaIrWpug0y9Ca96nxiZltNbObZnY/lqpA+szscftWE0Nay9MUnWbSGoumaG2KTrMCrZlfuEIIIepFSTMhhEiEHK4QQiRCDlcIIRKRmTRrt9uPmNlmW2SB6PHx8W/wj9LaFU3RaSatsWiK1qboNCvQmjdLYbMtwqkWZuZNtTBprUJTdJpJayyaorUpOs0ytOY53JtmZmNjY9Zqtbp+6p49e7xjx48fd+yhoaHce3Q6HRsZGXmoiRCkFbUMDw/nPtfMbGBgwLH379+fROvhw4cd+/Lly469YcMG7xpc087OqaKTTfo/cOCAY3/22WeZz8yCbd43OjpaSevZs2e9k9555x3HPnTokGP/z//8T6FW1v8Lx0g3Wq9eveqdhGO1aNyZ+e/R7t27c8+va6xiW2Mhf/ae4VjN8wF16USOHTvm2GzMXLrk+kz0B2W15jnc+2ZmrVar0CHmwVYVYaOUuH/WPxeCtKKWlStXFj4QGziV1uXLl+fenK14WbNmjWMHag3WGbK6qZtVRuy3ZGgP1sqKzKDWwcFBxw4ZD2vXrvWOZRS0CdbKVoThyqsQbagj1VgtKujDxnKXPqCSTmTFihWOzVa7YX+XKF5EtSppJoQQiahcnhHBcnasRFyKEneslCDu+YQ2lmI0i79PmBkvX3f69GnHxr3B2B5QeIy1QZW2v3LlSuExLNf4wgsveNdgackYe5yxcYdau9mfjJU3rFoWk5USxTKXR48eLbwPjhE2dlOUZ0TYOMQ+Z+9A3eMCn4H7L7KSl3X7Kn3hCiFEIuRwhRAiEXK4QgiRCDlcIYRIROWkGQai9+3b59hsHzGcp/f6669XleHBgt3r1q1zbAzm92q/qhBwzyeW/MBzMIFpVpzgyGNBIfhMMNGBbc7OiUFIcujgwYOOzXThfWIkUUPGHWpl/RgjIYawZCQm+DBxysYhtjU7B/1EVTBJimOTacBrmK8qM571hSuEEImQwxVCiETI4QohRCIqx3AxlhQSa1qyZIljx5hMzibpIyELH1LAJn0jIfE5jAWuX7++O0EZsAnsCNYnYJw6dcqxq/Z1t+DEd1yQYeYvQIlBSAwXtbJ4I46jGLHyEK1ssUvRfbZv396lIg57pzDWjOOOxafPnTvn2Oz3s77IQl+4QgiRCDlcIYRIhByuEEIkolQMl8UqMFaKcaOQAiExYnhYyMPMLxKC2jD+bFb/XMCYYNyq7nZl98OYFs5TZe2Hcf0Y/c/uiXHwovmjZv488hhxfhafx+diO7N3EY/FGLshMVw29xrBdzFkjncZcE46A2O2IXPUq64Z0BeuEEIkQg5XCCESIYcrhBCJkMMVQohElEqasUTEqlWrHPuDDz5wbDaZOAUsEYGBetTGFgpgID1FgZAQ2C4B169fd+y6J76z++Ex1MV09gpM6OFCDkyimaUptMPAcYftyJI3KcYm609cMILjMGTBTDe7b+QRkjDExSQMTABWbWN94QohRCLkcIUQIhFyuEIIkYjKxWtwIjjabII2FilPBS4MCCkag3HeGHEyVtQad2nF2BmLp2MsLUVBdWxDjD2yIkJYvCYGLNaIcT2cHM+K1/SqsA4WTcFFOez3xSjkj7AxhbFv7F8Ww8Uxn2KsYv/jM9nOyHW3qb5whRAiEXK4QgiRCDlcIYRIhByuEEIkonLSrAiWNDty5Ejsx1IwaI7BfFYtLMYurSHPwOQjLjDZtm2bd01IErAKbBELVurHxBPr6xSJKJaowaQIamXtl2LhA0uAYeUyTPCwvujVrtNY2Qx3/WAV1hZDFb6QRTl1v//6whVCiETI4QohRCLyQgp9ZmadTqfSA2ZnZ71jMzMzjj0xMZF7jwUa+jJOCdJ679693L/fuXPHO1akDYmlddkyt6tYu05OTjp2nvZudDLNqGvpUvf/4djXRboY3WidmpryTirSiu1nlkbr9PS0dxJqQ27cuOEdY22dR11jFfVjO7P3DvXnaa9LJ4LvO+pm92TnZJxPtS6Zn5+nF7bb7S1m9nHu3dOzdXx8/BIelNZKNEWnmbTGoilam6LTLENrnrv+xMy2mtlNM7sfS1UgfWb2uH2riSGt5WmKTjNpjUVTtDZFp1mB1swvXCGEEPWipJkQQiRCDlcIIRIhhyuEEInITJq12+1HzGyzLbJA9Pj4+Df4R2ntiqboNJPWWDRFa1N0mhVozZulsNkW4VQLM/OmWpi0VqEpOs2kNRZN0doUnWYZWvMc7k0zs7GxMWu1Wl0/dc+ePd6xl19+2bF37NiRe49Op2MjIyMPNRGCtB47dsyxsVDyk08+6V2zf/9+x969e3ftWtnE9y1btjj26OioYw8PD+fqKKKuNkXwtxw+fNg7Z2hoyLFfe+21JFpxEcOuXbtydZmZHT9+3LE3bNiQRCu2I44HpvXMmTOOPTAwkEQr8uGHHzo2K+yN+rGdF54TS+fVq1cdm/mqnTt3OjYbqwvbuUhrnsO9b2bWarVo54bCVmYMDg46don7Z/1zIUjrihUrHBtXa7HVPVgQJIZWVkRjbm7OsVevXt2tjiIqtSmCv6W/v987B/shVf9jf2Mbs/5fs2aNY6fSiu0YonXt2rWOXaKYTa1jAN9vBvoF5ijJM2vViasRsY3NzJYvX+7Y2MZmme1MtdZeLQyrGF28eLHwGlZNKAZY+Qm3WGFbNeN2QDEqXTGHi9uWYFUuBm7pzKpfxd5KG6vD4VYxZmYbN26MqiGLou1SWNtgtahU275jO+J4CNlCKMWWOyHPxW2XzPzfx6qfxR6rqJO9/6dPn3Zs9v6XqSimWQpCCJEIOVwhhEiEHK4QQiRCDlcIIRJROWmGwfuQpFKvtgJBbRg0xy1XzPygeQxCtsbBxGLI1i8pEjyoPWTrlBTbFrEtdrAvcVogG7sptgNiyS1sV9z+iSWiMOnDtMdIROH7jG3PxiEmrFNsZYSgLrYdGOpkyb0y6AtXCCESIYcrhBCJkMMVQohElIrhsvgFxolCFjr0KoaLbNq0ybGZLlxMEAPcAj0E1G4WfwEJiwliXBQ1XL9+3bsmRf+HxK9D4nEYK2Xx1qoLDFh7YEwTn8GuQa0sNxAjJo33xLZnCwow1t8Ln4AaWNwfqRoD1xeuEEIkQg5XCCESIYcrhBCJKBXDZTEhjL3gvLW9e/d616SYhxkCxhsvXLjgnYNaWZynalyHxV7xGD4X52WamW3bts2x646LsXmKeAx1suI1sYuSmPGxivF4FltEUsxlXr9+vXcM48shfYlxX9ZfMSiai8/e98XgA3CssrnNGOetqltfuEIIkQg5XCGESIQcrhBCJEIOVwghElEqaRZS3AMD6Fip3ixsgnEvYIVXMHnB2iCk+ExZMPmIySeW8MEkCUsCLAaqFgAJIWSyfUjyDpNVMSbos6QpJpuxL5l2HDMx3jO2yAP3LMMdPVBXCtg7iWMCfRNLRNe9UERfuEIIkQg5XCGESIQcrhBCJKL2XXvrKhoSA4zroM1iXnhOqkLJGI/F3YMZvSjijLBiNUiK/mdtgfFXjM+xuC/GLE+ePFlNWCCoDX8Pi+FeuXLFsbHAeh2wokm4oAR11BVPLwNboIDPQJ0hC0VYTLfMe6cvXCGESIQcrhBCJEIOVwghEiGHK4QQiehJ0qxXyZ2iCu8scB9S8T8G+BxMTLAA/2KowIST3tmOGb3SiW2GbRxSLSr2rhpZz8XkLXvPjhw54tgxdncIqWyH7czGKibS2Dl1+wl837FN2QINPMZ8hJJmQgixCJHDFUKIROSFFPrMzDqdTqkbTk5Oug9Y5j9iZmbGsScmJnLvuUBDX8YpQVrv3buX+/fZ2VnvWK+0FjE1NeUdK9K2kFg6Q87Hfw6nalNsM+zvpUv9749eaUXm5uYKz1ksYxXbjL1X+HvQb5j9n/5YOnE83Llzp/Ca6elp79jCdi7SumR+fp7euN1ubzGzjwsVpGXr+Pj4JTworZVoik4zaY1FU7Q2RadZhta8L9xPzGyrmd00s/uxVAXSZ2aP27eaGNJanqboNJPWWDRFa1N0mhVozfzCFUIIUS9KmgkhRCLkcIUQIhFyuEIIkYjMpFm73X7EzDbbIgtEj4+Pf4N/lNauaIpOM2mNRVO0NkWnWYHWvFkKm20RTrUwM2+qhUlrFZqi00xaY9EUrU3RaZahNc/h3jQzGxsbs1arFfwUnBi8a9euwmtGR0e9Yxs2bHj4351Ox0ZGRh5q6lYrTgTfs2ePY7NJzb/97W8de8eOHZn3r1NrEajdzNd/5swZ75yBgYGoOlED25gT+4H1/0K60cr68tixY479l7/8xbGHh4e9a44fP+7YD9qvTq2Mw4cP52plOlAr+z0xtG7ZssWxv/zyS8f+wQ9+4F2DdSt2795dq86rV696J/3iF7/IfEaWzv379xfqXNgXRVrzHO59M7NWq2VDQ0O5QhcSUrwGWbNmjXcs45lZ/1wI0spWvCyEreYZHBwM0ZWpKet42XZF2Ao+XCm1du1a7xyy62ytOrH/V6xY4Z3T39/v2DHalI3D5cuXOzb2N+oy89uwxK69ldq1SCtj9erVjt2rsVr0npn57Rh4/2CdbCVmiC4E/8cW+E491IQoaSaEEImovTwj/lOBlS7DPa1YWbQYJRyxHF/I/lt79+51bLYfV4mvnq5B7RcvXvTOeeyxxxybfeXF1oqlF3HfqFSwfsLSejhW2Z52WEYQS/rFAksrYruyUM327dsd+9q1a945de8dZlbcjqdPn/auwT362PtexQew33nw4MHca1iJyEOHDhVqKlNuVF+4QgiRCDlcIYRIhByuEEIkQg5XCCESUXvSDIPKbJ+oFHuasQQIBu8xIcbAa9h9Y+zRhUkTlnhAsF1jJEiKwKTciRMnvHNYwqduQpIw586dc2yWNMHEY6pEJI4pHHcsGYlJoVT9j+84tmvI2K1bK+sTHHdof/XVV94127Ztc+yqvktfuEIIkQg5XCGESIQcrhBCJCL6wgcWr8NJ6SzOW5WQRQ0sZofgRHc2ob4qbDJ9SNwL6WZZdd3gb2GxuRj93Q2nTp1ybNZ+GDtNsciFERLjTJEbCWHjxo2F5xw5csSxe9GuIe8y+oiqOvWFK4QQiZDDFUKIRMjhCiFEIkrFcFmsEY+hzeatYrGaXsXFMD6Dc1/N/NhZqjgpzl/F+BwWKjHrTWwU51yi7sUcw0UdqQrTdAO+I2wOech4TgH2Oc5lNfN9ABsTsf0Ctg/L6YToLIO+cIUQIhFyuEIIkQg5XCGESIQcrhBCJKJU0oxNFD569GjuNTi53CxOsReEBepxRwRclMESPJgkS1GohB0LSdbFWJSxELaIBSviI6z/FwvYxmzhAO60EbJYJgWsL1atWuXYLAmY4t1DsA3N/KQva9fYyVXsb5ZkRO1KmgkhREOQwxVCiETI4QohRCJKxXBZjANjQiGTiTFWymKnVQsSs1grasVJ+2wxAcZ9ezWZfDHAYpxY9Brjhrg7q1nYZPIYsUZchINxcTbmsIgQi51Wjeuz+DzGDnFs3r59u/C+qYrl43t04cIFx2a7cseGtWlR/DWkYBRr0zJFg/SFK4QQiZDDFUKIRMjhCiFEIuRwhRAiEZV3fMBEAwbIWZAeEwAsqB5jx9Gi3WLZwoEUO8yGgIkZtrAjdrWrkAUaCEtUoM5U1eIw4Yk732KC1MyvyhVDK7snvhOYrGHJm+eee86xn3/++WrCAsHdG9iOwgi2a93J6JDdO1Ane6dwYY927RVCiIYghyuEEInICyn0mZl1Op1SN5yennbsubk5/6HL3MfeunXLO2diYuLhfy/Q0Jfx2CCt+Pd79+4Vap2amsrUVfCMSlqLmJ2dLTwnT2sqnXfu3PGOYTtPTk5658Tof3wujsOlS/3vj7t372bqYsRqV+xvphXHM3vGwt+cql0Z2K43btzwzpmZmelaJ9NcpJO9U+ibqvb/kvn5eXphu93eYmYf5949PVvHx8cv4UFprURTdJpJayyaorUpOs0ytOb9r+gTM9tqZjfN7H4sVYH0mdnj9q0mhrSWpyk6zaQ1Fk3R2hSdZgVaM79whRBC1IuSZkIIkQg5XCGESIQcrhBCJCIzadZutx8xs822yALR4+Pj3+AfpbUrmqLTTFpj0RStTdFpVqA1b5bCZluEUy3MzJtqYdJahaboNJPWWDRFa1N0mmVozXO4N83MxsbGrNVqBT/l7Nmzjv3rX//aO+e9995z7OHh4dx7djodGxkZeaipLq3Hjh0rPOe1114Lvp9ZPK3Ili1bvGP79+/PtRfSjU5c1GJmtmfPHsfGieEbNmzI1PCAl19+2Tu2Y8eOSloZqB+1M63Hjx/PvB+jLq27du3Kfc7OnTu9Y7t373bsoaGhJFqLYO/Z5cuXHfv8+fOZ16fSeeDAAe8Y6hwdHfXOWei/irTmOdz7ZmatVquw4xaChTjY6o3Vq1c7don7Z/1zoSutK1asKDynzP2YpqzjZbWGMDAw4NiB9w/WyQqC4IqnblYdDQ4OescytFdqU9SP2pcvXx6qI4RKWtlKsoWsXLnSO4bOplfvFcLeM/x9dY/Vbujv7/eO4XhG32VWbqwqaSaEEImoXJ4RvxqwnCEreVe1xFm3YHm2kydPOjbuz7WYwDa7fv26dw4rL1knrCQglrjDUn0MLL2JZQXrgJXVxFJ7CCsriO1etC9WN+CeYFlaiv6OZS9jl+vMAschvmcM9q+n2GU7cTyzfkBwrzmzcu2sL1whhEiEHK4QQiRCDlcIIRIhhyuEEIkolTRjge2ifaLYfmUp9rBiCR7c4wn3VWKJFkwAxNhrjVHUrozY2libbty40bFZUqEXsLGKoHaWzMXfEyNpxvbSwmQzautVQiwEHKssGf3uu+86dqp97RaCvmndunXeOSw5XQV94QohRCLkcIUQIhFyuEIIkYhSMVwW48TJwhgXZZPaMT75zDPPFJ5TFqYV4zEvvPBC4TUYw2OLC6rGn9hzT58+7di4oODo0aPeNRijrhsWF8X2wFgja68UcdEQWH6h6BwWx666kIeNH7xn0QIjM/+d6UVc1CxsIUtI28dm06ZNjs3GKr6HVf2SvnCFECIRcrhCCJEIOVwhhEhEqRhuyNw/nAvK4nMYF2Gxk6qxEjYfFONgGG/+6quvvGtwrmYM2G9dv369Y9++fbvwPtg/VdsQYX2J/b1q1SrH/vTTT71rMH4XI4aL8TkzXkhpIWwec8j81xjFmDCvgTF7VogH27VXc3Uxzo3vmVn8+dos34Bzf7F9WPEafP8VwxVCiIYghyuEEImQwxVCiETI4QohRCJKJc0w6GzmJwzYhPwiYkzYZwkQTCrg5HGWiEhRZIPdEyePL4ZiJUxnURLhxIkTQfepG1YQBsE2ZQtwLl686NhswUEMMKmE2tjCAdxZIcYijW520mALIWIvdmFJuaKdJ1jxmrrfO33hCiFEIuRwhRAiEXK4QgiRiFIxXBYXxQnGGPPYvn27dw3GdHpVvARjiYtph2EkVeHzsuCiFYzHswnoLLZYNyxOjHFQHHchbZxqPGC74aIcFsPF8RtjzLB3Fd/5kN1wMRbM4udV2prlFnBMYH6GFRvHWHDVGL6+cIUQIhFyuEIIkQg5XCGESIQcrhBCJKJU0iyEkITIYtnZFZMKrFoYBvxDqtnHALWyif2YSKm7WljITsiY/GBJhl7tRIBJEmxTluDDnTZSgckprLDHOHXqlGOnauei3RtYog19ABurVRJULOGGx1AX0xCymKTM4gh94QohRCLkcIUQIhF5IYU+M7NOp1PqhtPT0+4DlvmPmJycdOyJiYncey7Q0JdxSldap6amHJtpvXXrlmP3SisyOzvrHbt3755j52ntRif2G+Pu3buOfePGDe+cmZmZwvsspK42xbG5dGnx9wZqTdX/2I5sbCIYElksY/XOnTveMWx7ds4D/bF04njA98fMb3f23i1s5yKtS+bn56mYdru9xcw+ztHbC7aOj49fwoPSWomm6DST1lg0RWtTdJplaM373+YnZrbVzG6a2f1YqgLpM7PH7VtNDGktT1N0mklrLJqitSk6zQq0Zn7hCiGEqBclzYQQIhFyuEIIkYjMGG673X7EzDbbIouLjI+Pf4N/lNauaIpOM2mNRVO0NkWnWYHWvKTZZluEmT8z8zJ/Jq1VaIpOM2mNRVO0NkWnWYbWPId708xsbGzMWq1W5kmHDx92bJz7NzQ05F1z/PjxPKEenU7HRkZGHmrqVuvly5cdG7Vv2LDBu2Z0dLQnWhGcM7hr1y7vnIGBAcc+c+ZM5jnd6GTzOg8cOODYeM7OnTu9a3bv3u3Yw8PDGRKsa63YXmZme/bsydV6/vx57xo2fuvWGgL+no0bN3rn4FjdsWNHT7QeO3bMsXHJsZnZe++959h5Y6AunfjOfPbZZ4796KOPetdgm1Ydq3kO976ZWavVyh10y5cvd28IE4Xx72blBzFqyjpepHX16tW5N+/v7/eO9Uorwtb5IziZfO3atd45ZH19sE426RufOTc359is/7EfSrRDsFbWXkVa2cu6WPuf9cXg4KBjx2jXEFasWOHYTGuXY6CSTux/1IXjoYLOh5o8DaFXCyGEqEapamGsUk5RFSPcZtrMr8rDtteoSkhlK4RtBYIVhVJtk10E2w4Ej+H2N2bVti1hW7YcPXrUsXGbF1YpCvuB9VXV7WFYBSvWHgthfbtY+pu9Rwj+0z1GZTv2Lwes/IUVtlj4oxdbRqGfwXHIxgxuEfbpp59655R5p/SFK4QQiZDDFUKIRMjhCiFEIuRwhRAiEaWSZmwrCUyS4DksEI2JlJBtecrCnouBenwu04GBdrY9UNWtTFiyDhMgZbbxeECVBFkoRYkZlhy5cuWKY7NkVtWkCutLHHf43G7aOBUnTpzotQQz42MKk7Xr1q1zbJas7kXSrCgBWrRVkBkfI0qaCSHEIkQOVwghEiGHK4QQiSgVw2WTnjF+UWSb+dtVs/vG2OK56J5MK8b9WJyn6nbkGAc382NFbAv3kPv0Ghafxi3eYyx8wQnrZn5sEfu2V9u3s9gijrOQhQ8x2tHs2zoOD95R9q7iuMOFDyyGi/fpxQIT1IC5BTN/rLKFPGXQF64QQiRCDlcIIRIhhyuEEIkoFcOti5CCMGy+62KgqABKN7DYG8aXsD2waAw7ZzHACpekiJWy+cE4NxfjoqxuawpY7qCoHCeL6caadz0wMPCwz1ixKozRFhWJMutdvDxPA8uB1D1fWF+4QgiRCDlcIYRIhByuEEIkQg5XCCESUSpptmnTJu9YSMEHBIP7MYqGhGjFxMRiCORnEZKsizXxvQosgdLNmCkLW3Cxd+9ex8YkSUiyJwas3/AYJppZ0ixFQRiWjLx27ZpjYzuyBQVVFxDEgGmqe0GGvnCFECIRcrhCCJEIOVwhhEhEqRgui98cPHjQsXHyPZuMj8VrYsSe2IR7jINiLJnpwMnyvdrFNaSNUGvdE+HZZHyMx2IbY1+bpYk13r592zuGBYC6ieGyOH+KmHTRQohegv0Z0r+9yJcUbTjA3m0cM+ycMvFofeEKIUQi5HCFECIRcrhCCJEIOVwhhEhE5WphRTsisMQNBsyr7pjAYIF7rHSESRKWmMDfF0NrCPjckN2Q2YT6Kgkr1j6YFCtKTLJrYhCy4AK1huyqgDsApCJkp2tcYNCLnXEXM/g+hOyighMFqr7/+sIVQohEyOEKIUQi8kIKfWZmnU4n9wbT09OOPTs769hzc3PeNXjO1NSUd87ExMTD/16goa+K1lu3bjn2smXuz1+61P//z8zMTKYuRl1ac+5rZrxdUT97xoPf3I1Odj/sS+TevXvesRs3bjg2tjHSjVYcl0wLtiGOBwb7vTHGKjI5OenYrP9xfPdqrBa1c4i2hdSlE9+PkP7G34Jj18wdv0Val8zPz9MHtdvtLWb2caGitGwdHx+/hAeltRJN0WkmrbFoitam6DTL0Jrn4j8xs61mdtPM7sdSFUifmT1u32piSGt5mqLTTFpj0RStTdFpVqA18wtXCCFEvShpJoQQiZDDFUKIRMjhCiFEIjKTZu12+xEz22yLLBA9Pj7+Df5RWruiKTrNpDUWTdHaFJ1mBVrzZilstkU41cLMvKkWJq1VaIpOM2mNRVO0NkWnWYbWPId708xsbGzMWq1W8FNwwvmBAwe8c4aHhx17//793jkDAwMP/7vT6djIyMhDTSFaL1++7J10+PBhx/7yyy8zbvd//OxnP3Ps0dHR2rWGgO344Ycfeuegth07dmTeL5bOq1evOjbr//Pnzzv2wvarSyubWL9r1y7H/vrrr3Ofa2b25JNPOjbr/6GhoUpaGfgebdmyJfOZD8B2LSLWGMC2DxkDecRqU9T18ssve9fkvUPdaM1zuPfNzFqtFu3cLLDACVvNsXLlSsdeu3atd05GRfisfy54WlevXl0ktXCVlJmvP4bWEPr7+x2baR8cHHTswPvXqpOtGkSwDUtU/w/WytoHVzyF9D+uTmIvdEb7VGpXfI9QO1sVWaafmKas42XHALZrjVprbVN8t/H9Mau/TZU0E0KIRFQuz4hg2ThW8g6PxdijnpWmw2P4XLZfEWplZRFTlGzsxR5Q3YBt0asSgay9sGQjamNlI7HkITuH7dtXN1hKEHWZmZ07d86x2R6EKSgq2dkrsJ/w3WY6161b59hV9wnUF64QQiRCDlcIIRIhhyuEEImQwxVCiERUTprhVIuQBBgG82MkhFiy5qOPPnJsTDJcv37du2bv3r2OnWpPM9SK+7EtFjDRiMkclmQM2fesKmxMFe2ldvToUe/YY4895tgxEryMbvZ961WSDN8jbMeQMVB3cpUlwE6ePOnYIQkxfN/ZXnJl0BeuEEIkQg5XCCESIYcrhBCJKBXDxXitmR/jYBOyQ+7TCzA+x4gRX0RwQr6ZHxcLAWNSdcPiVziZPCSOuGnTJse+du2ad06vFkwgGLNNtQClKIa7cePGJDpCwDzHtm3bcm0zs1WrVjn2hQsXvHOeeeaZ6uJywPuzNsdxiLkVdp889IUrhBCJkMMVQohEyOEKIUQiKsdw8diRI0ccm81tXCzxuRBSxOz27dvnHcPYMcaX2Jzh2FrZM7GoCnLq1KnC+7K4WKr5zgthMXBs9xiFaljRpJBcSC9gfYVjoJs2qxobRUIK5oTMda7bV+kLVwghEiGHK4QQiZDDFUKIRMjhCiFEIkolzUIKwiAsIbBYkmaYmGILIbDwRoxkDlssgMe6KWZSN0wnJsVQJ9vxAyftp1hcEgLTgQtQWOK4arKSjamiQku9giWycOEDnsOSrSH3jQ0u5GH9j33L3kMtfBBCiEWIHK4QQiRCDlcIIRJR+669GHtiE+NTxGtYrA3jyTg5mmldLLvlYnwpJC6WAow/Fu2My66JEcNlE99x3GHfhiw2YPetqp+NMRyrGMNdTAsjivILrH1wnNTtE9j9MHeAhYnYNRjnrbrwRV+4QgiRCDlcIYRIhByuEEIkQg5XCCESUXvSDBMAvapMzybcs8plC2ELH9jCjV6AiQc2ET5FZasiMFlZVE0sJagNE4+sWhju9JpqkQa+R6iNJU1DJvIvFnqx+AnfD3y3mX/A3SrY7ixl0BeuEEIkQg5XCCESkRdS6DMz63Q6pW44OTnp2HNzc945U1NTjj0xMZF7zwUa+jJO8bTeunXLO2nZsvwIytKl/v9/bty44dgzMzO59+hGawj4XPZb8Jy8do2lE89nOqenpx07Rv8z3di/RePBzB9HMbQysI0Qph3fvVRai2A+AMM7KcYqts/du3cdm7Xp7OysY6M/MHPfuyKtS+bn56m4dru9xcw+pn/sHVvHx8cv4UFprURTdJpJayyaorUpOs0ytOb9L/4TM9tqZjfN7H4sVYH0mdnj9q0mhrSWpyk6zaQ1Fk3R2hSdZgVaM79whRBC1IuSZkIIkQg5XCGESIQcrhBCJEIOVwghEvG/RCzhPJjMXQMAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x432 with 64 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load images of the digits 0 through 5 and visualize several of them\n",
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits(n_class=6)\n",
    "\n",
    "fig, ax = plt.subplots(8, 8, figsize=(6, 6))\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(digits.images[i], cmap='binary')\n",
    "    axi.set(xticks=[], yticks=[])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because each digit is defined by the hue of its 64 pixels, we can consider each digit to be a point lying in 64-dimensional space: each dimension represents the brightness of one pixel.\n",
    "Visualizing such high-dimensional data can be difficult, but one way to approach this task is to use a *dimensionality reduction* technique such as manifold learning to reduce the dimensionality of the data while maintaining the relationships of interest.\n",
    "Dimensionality reduction is an example of unsupervised machine learning, and we will discuss it in more detail in [What Is Machine Learning?](05.01-What-Is-Machine-Learning.ipynb).\n",
    "\n",
    "Deferring the discussion of these details, let's take a look at a two-dimensional manifold learning projection of the digits data (see [In-Depth: Manifold Learning](05.10-Manifold-Learning.ipynb) for details):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "# project the digits into 2 dimensions using Isomap\n",
    "from sklearn.manifold import Isomap\n",
    "iso = Isomap(n_components=2, n_neighbors=15)\n",
    "projection = iso.fit_transform(digits.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll use our discrete colormap to view the results, setting the `ticks` and `clim` to improve the aesthetics of the resulting colorbar (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the results\n",
    "plt.scatter(projection[:, 0], projection[:, 1], lw=0.1,\n",
    "            c=digits.target, cmap=plt.cm.get_cmap('plasma', 6))\n",
    "plt.colorbar(ticks=range(6), label='digit value')\n",
    "plt.clim(-0.5, 5.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The projection also gives us some insights on the relationships within the dataset: for example, the ranges of 2 and 3 nearly overlap in this projection, indicating that some handwritten 2s and 3s are difficult to distinguish, and may be more likely to be confused by an automated classification algorithm.\n",
    "Other values, like 0 and 1, are more distantly separated, and may be less likely to be confused.\n",
    "\n",
    "We'll return to manifold learning and digit classification in [Part 5](05.00-Machine-Learning.ipynb)."
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "jupytext": {
   "formats": "ipynb,md"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
